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Finding the Fourth Proportional to 7,755.81, 10,709.48 and 7,193.00

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Solution

The fourth proportional to 7,755.81, 10,709.48 and 7,193.00 is: 9,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.81 : 10,709.48 = 7,193.00 : x
  2. Step 2: Convert to fraction form
    7,755.81/10,709.48 = 7,193.00/x
  3. Step 3: Cross multiply
    7,755.81x = 10,709.48 × 7,193.00
  4. Step 4: Simplify right side
    7,755.81x = 77,033,200.13
  5. Step 5: Solve for x
    x = 77,033,200.13/7,755.81
  6. Step 6: Final answer
    x = 9,932.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.